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Finding the Fourth Proportional to 9,916.75, 13,684.98 and 5,440.69

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Solution

The fourth proportional to 9,916.75, 13,684.98 and 5,440.69 is: 7,508.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,916.75 : 13,684.98 = 5,440.69 : x
  2. Step 2: Convert to fraction form
    9,916.75/13,684.98 = 5,440.69/x
  3. Step 3: Cross multiply
    9,916.75x = 13,684.98 × 5,440.69
  4. Step 4: Simplify right side
    9,916.75x = 74,455,733.84
  5. Step 5: Solve for x
    x = 74,455,733.84/9,916.75
  6. Step 6: Final answer
    x = 7,508.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.